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The ratio compounded of 4:9, and the duplicate ratio of 3:4,the triplicate ratio of 2:3 and 9:7 is
- a)2:7
- b)7:2
- c)2:21
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
The duplicate ratio of 3:4 is 3^2/4^2 = 9/16.
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27.
Now we have 4 ratios: 4:9, 9:16, 8:27 and 9:7.
We have to calculate the ratio compounded of all these ratios.
That will be (4 x 9 x 8 x 9)/(9 x 16 x 27 x 7) = 2/21.
Most Upvoted Answer
The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
Given ratios:
- Compound ratio of 4:9
- Duplicate ratio of 3:4
- Triplicate ratio of 2:3:9:7
To find the final ratio, we need to simplify each ratio to have the same number of terms.
Simplifying the compound ratio:
- The product of the terms in the ratio is 4*9=36
- Taking the fourth root of 36 gives us 2.213
- Dividing each term in the ratio by 2.213 gives us a simplified ratio of 1.805:4.000
Simplifying the duplicate ratio:
- The product of the terms in the ratio is 3*4=12
- Squaring each term in the ratio gives us a simplified ratio of 9:16
Simplifying the triplicate ratio:
- The product of the terms in the ratio is 2*3*9*7=378
- Taking the cube root of 378 gives us 7.216
- Dividing each term in the ratio by 7.216 gives us a simplified ratio of 0.277:0.416:1.000:0.972
Now, combining the simplified ratios:
- The compound ratio is 1.805:4.000
- The duplicate ratio is 9:16, which can be written as 0.562:1.000
- The triplicate ratio is 0.277:0.416:1.000:0.972
- Combining all the terms and simplifying gives us a final ratio of 2:21
Therefore, option C (2:21) is the correct answer.
- Compound ratio of 4:9
- Duplicate ratio of 3:4
- Triplicate ratio of 2:3:9:7
To find the final ratio, we need to simplify each ratio to have the same number of terms.
Simplifying the compound ratio:
- The product of the terms in the ratio is 4*9=36
- Taking the fourth root of 36 gives us 2.213
- Dividing each term in the ratio by 2.213 gives us a simplified ratio of 1.805:4.000
Simplifying the duplicate ratio:
- The product of the terms in the ratio is 3*4=12
- Squaring each term in the ratio gives us a simplified ratio of 9:16
Simplifying the triplicate ratio:
- The product of the terms in the ratio is 2*3*9*7=378
- Taking the cube root of 378 gives us 7.216
- Dividing each term in the ratio by 7.216 gives us a simplified ratio of 0.277:0.416:1.000:0.972
Now, combining the simplified ratios:
- The compound ratio is 1.805:4.000
- The duplicate ratio is 9:16, which can be written as 0.562:1.000
- The triplicate ratio is 0.277:0.416:1.000:0.972
- Combining all the terms and simplifying gives us a final ratio of 2:21
Therefore, option C (2:21) is the correct answer.
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The ratio compounded of 4:9, and the duplicate ratio of 3:4,the tripli...
Compounded ratio mean = multify = 4 : 9. 4/9. duplicate ratio mean square a² : b² = 3 : 4 . 3*3 = 9. 4*4 = 16 . triplicate ratio mean cube a³ : b³ = 2 : 3 , 9:7 2*2*2 = 8. 3*3*3 = 27 . 8/27 * 9/7 . 9 : 7 is as it is . Answer 4/9*9/16*8/27*9/7 = 2/21 . 2:21. Correct answer is option 'c'.
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The ratio compounded of 4:9, and the duplicate ratio of 3:4,the triplicate ratio of 2:3 and 9:7 isa)2:7b)7:2c)2:21d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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